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Finding the Fourth Proportional to 14,151.78, 19,528.70 and 7,863.75

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Solution

The fourth proportional to 14,151.78, 19,528.70 and 7,863.75 is: 10,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.78 : 19,528.70 = 7,863.75 : x
  2. Step 2: Convert to fraction form
    14,151.78/19,528.70 = 7,863.75/x
  3. Step 3: Cross multiply
    14,151.78x = 19,528.70 × 7,863.75
  4. Step 4: Simplify right side
    14,151.78x = 153,568,775.31
  5. Step 5: Solve for x
    x = 153,568,775.31/14,151.78
  6. Step 6: Final answer
    x = 10,851.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.